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Finding the Fourth Proportional to 518.91, 716.10 and 309.19

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Solution

The fourth proportional to 518.91, 716.10 and 309.19 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 716.10 = 309.19 : x
  2. Step 2: Convert to fraction form
    518.91/716.10 = 309.19/x
  3. Step 3: Cross multiply
    518.91x = 716.10 × 309.19
  4. Step 4: Simplify right side
    518.91x = 221,409.41
  5. Step 5: Solve for x
    x = 221,409.41/518.91
  6. Step 6: Final answer
    x = 426.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.